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Finding the Fourth Proportional to 2,947.74, 4,420.95 and 867.89

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Solution

The fourth proportional to 2,947.74, 4,420.95 and 867.89 is: 1,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.74 : 4,420.95 = 867.89 : x
  2. Step 2: Convert to fraction form
    2,947.74/4,420.95 = 867.89/x
  3. Step 3: Cross multiply
    2,947.74x = 4,420.95 × 867.89
  4. Step 4: Simplify right side
    2,947.74x = 3,836,871.85
  5. Step 5: Solve for x
    x = 3,836,871.85/2,947.74
  6. Step 6: Final answer
    x = 1,301.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.